GCD of 462, 396, 644 Calculator

Given Input numbers are 462, 396, 644

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Greatest Common Divisior

We found the divisors of 462, 396, 644 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 396, 644 is 2.

Therefore, GCD of numbers 462, 396, 644 is 2

Given Input Data is 462, 396, 644

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 644 is 2 x 2 x 7 x 23

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(462, 396) = 2772

GCD(462, 396) = ( 462 x 396 ) / 2772

GCD(462, 396) = 182952 / 2772

GCD(462, 396) = 66

Step2:

Here we consider the GCD from the above i.e. 66 as first number and the next as 644

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(66, 644) = 21252

GCD(66, 644) = ( 66 x 644 ) / 21252

GCD(66, 644) = 42504 / 21252

GCD(66, 644) = 2

GCD of 462, 396, 644 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 153, 487, 372
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• GCD of 447, 115, 317
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1. What is the GCD of 462, 396, 644?

GCD of 462, 396, 644 is 2

2. Where do I get the detailed procedure to find GCD of 462, 396, 644?

You can find a detailed procedure to find GCD of 462, 396, 644 on our page.

3. How to find GCD of 462, 396, 644 on a calculator?

You can find the GCD of 462, 396, 644 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.